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Finding the Fourth Proportional to 21,117.44, 31,643.31 and 7,962.62

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Solution

The fourth proportional to 21,117.44, 31,643.31 and 7,962.62 is: 11,931.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,117.44 : 31,643.31 = 7,962.62 : x
  2. Step 2: Convert to fraction form
    21,117.44/31,643.31 = 7,962.62/x
  3. Step 3: Cross multiply
    21,117.44x = 31,643.31 × 7,962.62
  4. Step 4: Simplify right side
    21,117.44x = 251,963,653.07
  5. Step 5: Solve for x
    x = 251,963,653.07/21,117.44
  6. Step 6: Final answer
    x = 11,931.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.